Răspuns :
Explicație pas cu pas:
Adevarat a inviat!
|2x-1|=1 si x∈Z ⇒ 2x-1= -1 sau 2x-1= 1
Daca 2x-1= -1|+1
2x=0⇒x=0
Daca 2x-1=1|+1
2x=2|:2
x=1
Asa ca x∈{0,1}
|2x - 1| = 1
⇔ 2x - 1 = ±1
⇔ (2x - 1 = -1) ∨ (2x - 1 = 1)
⇔ (2x = -1 + 1) ∨ (2x = 1 + 1)
⇔ (2x = 0) ∨ (2x = 2)
⇔ (x = 0/2) ∨ (x = 2/2)
⇔ (x = 0) ∨ (x = 1)
⇒ x ∈ {0; 1}